This paper studies the dynamics of the analytic family z + 1/z + b alld describes the topologyof the parameter space, structural stability and J-stability. The mapping class group of almostall maps of the above family...This paper studies the dynamics of the analytic family z + 1/z + b alld describes the topologyof the parameter space, structural stability and J-stability. The mapping class group of almostall maps of the above family is determined.展开更多
By means of the Branner-Hubbard puzzle, the author studies the topology of filled-in Julia sets for geometrically finite polynomials,and proves a conjecture of C. McMullen and a conjecture of B. Branner and J. H. Hu...By means of the Branner-Hubbard puzzle, the author studies the topology of filled-in Julia sets for geometrically finite polynomials,and proves a conjecture of C. McMullen and a conjecture of B. Branner and J. H. Hubbard partially.展开更多
文摘This paper studies the dynamics of the analytic family z + 1/z + b alld describes the topologyof the parameter space, structural stability and J-stability. The mapping class group of almostall maps of the above family is determined.
文摘By means of the Branner-Hubbard puzzle, the author studies the topology of filled-in Julia sets for geometrically finite polynomials,and proves a conjecture of C. McMullen and a conjecture of B. Branner and J. H. Hubbard partially.
